Abstract : Dulac series are asymptotic expansions of first return maps in a neighborhood of a hyperbolic polycycle. In this article, we consider two algebras of power-log transseries (generalized series) which extend the algebra of Dulac series. We give a formal normal form and prove a formal embedding theorem for transseries in these algebras.
https://hal-univ-bourgogne.archives-ouvertes.fr/hal-01414966
Contributeur : Imb - Université de Bourgogne
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Soumis le : lundi 12 décembre 2016 - 16:55:26
Dernière modification le : vendredi 8 juin 2018 - 14:50:07
Pavao Mardešić, Maja Resman, Jean-Philippe Rolin, Vesna Županović. Normal forms and embeddings for power-log transseries. Advances in Mathematics, Elsevier, 2016, 303, pp.888 - 953. ⟨10.1016/j.aim.2016.08.030⟩. ⟨hal-01414966⟩
